transitions systems

A transition system is a mathematical model used to represent processes that change over time. It consists of states (conditions or configurations) and transitions (rules for moving from one state to another). Think of it like a map showing locations (states) and roads (transitions) connecting them, illustrating how an object or system can move from one point to another through specific steps. Transition systems are used in computer science and engineering to analyze system behaviors, verify correctness, and design automated processes by understanding all possible states and how they change.